Alan,
You will get the most consistent thickness strips with the band saw, as well as less waste (1/32 kerf maybe), no binding or burning and extremely fast cutting.
I usually use a 4 pitch skip tooth raker. I happen to own an R & D company with a full machine shop, so I buy my band saw stock in 50 ft bulk, and weld my 93.5 inch blades myself.
Throughout the years, I have used table saws, radial arm saws, and even a circular saw to cut strips...nothing beats the band saw.
As far as cedar, I buy 1S kiln dried 1 x 6, usually not more than 14 ft long. I limit the length to what will fit in my boat shop at home. Last boat I bought 16 ft boards, so I wouldn't have to splice any strips. Most of my builds used 14 ft long strips, with a simple butt splice, performed while stripping. No need for scarf joints, just somewhat match the color and grain and the butt joints are nearly invisible...or at least not conspicuous.
Even though the band saw cuts really well, I still have some wander. That's why I only use boards that are 6 inch wide. If everything goes well on a particular board, I do all the ripping from one edge. If the strips start to get weird due to blade wander, knot problems, whatever, I flip the board and rip from the other edge. I usually lose one or two strips per board.
Quarter sawn is best, it's what you'll likely find at a lumber source anyway.
If you don't have infeed and outfeed tables or rollers (I don't) try to get someone to help you cut the strips and find some means of support. Those longer boards get droopy. I usually cut my strips all alone. I set up a single roller support for outfeed, and use a piece of plywood clamped in a workmate, as an infeed support. It takes longer for me to walk the board back into starting position than it does to make the actual cut, the band saw cuts very freely (with a sharp blade). I clamp a 24 inch long guide to the band saw table, and use a rub block to hold the board against that guide. The cedar produces some crazy splinters and if you use a bare hand to hold the board in place you'll get many, many slivers...